(7/8) divided by 200
each card is 0.004375 inches thick
Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
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Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
Answer:
2x + y = 20
Step-by-step explanation:
gradient = -2
x = 6, y = 8
y - 8 = -2(x - 6)
y - 8 = -2x + 12
2x + y = 12 + 8
2x + y = 20
Answer:
-6
Step-by-step explanation:
in the equation y = mx + b, the b part is the y-intercept
Answer:
5 < x <21
Step-by-step explanation:
The side lengths of a triangle :
The sum of two side lengths selected at random must be bigger than the third side length and their difference must be smaller than the third side length
If we call the third side x than
x must be smaller than 13 + 8 and x must be bigger than 13 - 8 which means
5 < x <21
